HELP THIS IS DUE TODAY I WILL NAME YOU THE BRAILIEST!!!!!!!
Determine the equation of the circle graphed below.

HELP THIS IS DUE TODAY I WILL NAME YOU THE BRAILIEST!!!!!!!Determine The Equation Of The Circle Graphed

Answers

Answer 1

Answer:

[tex](x-4)^2+(y+3)^2=20[/tex]

Step-by-step explanation:

The equation of a circle with center [tex](h,k)[/tex] and radius [tex]r[/tex] is given by [tex](x-h)^2+(y-k)^2=r^2[/tex].

What we know:

Center at [tex](4,-3)[/tex]

To find the radius, we can use the distance formula. For points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex], the distance between them is [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex].

Let

[tex](x_1,y_1)\implies (-4, -3),\\(x_2,y_2)\implies (8,-1)[/tex]

[tex]r=\sqrt{(8-4)^2+(-1-(-3))^2},\\r=\sqrt{4^2+2^2},\\r=\sqrt{20}=2\sqrt{5}[/tex]

Thus, the equation of this circle is

[tex](x-4)^2+(y-(-3))^2=\sqrt{20}^2,\\\boxed{(x-4)^2+(y+3)^2=20}[/tex]


Related Questions

Solve for all values of x by factoring x² + 6x = 0

Answers

Answer:

Solution given;

x² + 6x = 0

taking x common

x(x+6)=0

either

x=0

or

x+6=0

x=-6

:.x=0 or -6.

Answer:

0 and -6

Step-by-step explanation:

Factor and find the zeros of the equation or graph the line to find the x-intercepts.

square in inches, x, and the perimeter of the square in inches, y. What is the constant of proportionality?

Answers

Answer:

y/x

Explanation:

The constant of proportionality defines two directly proportional quantities that decrease or increase proportionally/same rate.

Given constant of proportionality= k

Side of the square= x

Perimeter of the square= y

constant of proportionality=k=y/x

For example if perimeter of square is 8 and side of square is 2, constant of proportionality is 8/2=4

Find the measurements of angle WXZ, XZW, and XWZ

Answers

Answer:

WXZ = 123

XZW = 28.5

XWZ = 28.5

Step-by-step explanation:

find the vertex and the x-inter of the function given below. y = x^2 + 2x + 6

Answers

Answer: Vertex = (-1, 5) x-intercepts = No real solutions

Step-by-step explanation:

Vertex = -2/2= -1

-1^2 + 2(-1) +6

1 -2 +6

-1 +6

=5

Discrminats= 2^2 -4(1)(6)

4 -4(1)(6)

4-24

= -20 (It's a negative so there's no real solutions, meaning there's no xintercepts/R0XS)

Pls help i'm struggling with this help pls!

Answers

Answer:

[tex]5\sqrt{10}[/tex] when simplified and added this is what i got and when redone too over check i got it again hopefully this helps.

Charlie's garage has a rectangular floor space. Its length is 3 times its width. Charlie extends the width of his garage to 6 m, providing a floor area of 45 m2. what is the percentage

Answers

Answer:

The percentage change is 140%

Step-by-step explanation:

Given

[tex]L= 3W_1[/tex] ---- initial dimension

[tex]W_2 = 6m[/tex] --- new width

[tex]A_2 = 45m^2[/tex] --- new dimension

Required

The percentage increment

The length remains constant because only the width is extended.

The new area is:

[tex]Area =Length * Width[/tex]

[tex]A_2=L * W_2[/tex]

Make L the subject

[tex]L = \frac{A_2}{ W_2}[/tex]

Substitute values for A and W

[tex]L = \frac{45m^2}{6m}[/tex]

[tex]L = \frac{45m}{6}[/tex]

[tex]L = 7.5m[/tex] --- this is the length of the garden

Calculate the initial width:

[tex]L= 3W_1[/tex]

Make W1 the subject

[tex]W_1 = \frac{1}{3} * L[/tex]

[tex]W_1 = \frac{1}{3} * 7.5[/tex]

[tex]W_1 = 2.5[/tex]

So, the initial area is:

[tex]A_1 = L_1 * W_1[/tex]

[tex]A_1 = 2.5 * 7.5[/tex]

[tex]A_1 = 18.75[/tex]

The percentage change in area is:

[tex]\%A = \frac{A_2 - A_1}{A_1}[/tex]

[tex]\%A = \frac{45 - 18.75}{18.75}[/tex]

[tex]\%A = \frac{26.25}{18.75}[/tex]

[tex]\%A = 1.4[/tex]

Express as percentage

[tex]\%A = 1.4*100\%[/tex]

[tex]\%A = 140\%[/tex]

help me plzzzzzzzzzzz

Answers

Answer:

Top row, third one from left to right

Step-by-step explanation:

Use test points:

when x = 0 , y = 2(0) - 4 = 0 - 4 = -4

(0, -4)

when y = 0, 0 = 2x - 4, 4 = 2x, 2 = x

(2, 0)

Top row, third one from left to right

Can someone help me with this, Thx!

Answers

Answer:

x = 45

Step-by-step explanation:

x = 20 + 25

as x is vertically opposite to GED

and vertically opposite angles are equal

A pile of newspapers in Ms.
Clark's room was 7inches
high. If the pile increased in
height by 4 inches each
week. What is the height of
the pile after 4 weeks?

Answers

Answer:

4*4=16+7=23

Step-by-step explanation:

4 inches x 4 weeks is 16 inches

7 + 16 = 23

1. A quadratic equation can have all of the following number of solutions except
d,
b.
Zero
One
Infinite
Two
c.
a

Answers

You cannot have infinite solutions.

58:36
If Zöe orders a book from Store Y, how much tax will she pay?
Comparison of Online Bookstores
Store X
Store Y
Cost of book
$17.00
$18.00
Tax rate
6%
8%
Shipping
10% of cost before tax
FREE
$1.44
$2.25
O $12.25
O $14.40

Answers

Answer:

$1.44

Step-by-step explanation:

Tax is a compulsory sum levied by the government. it increases the price of the good

tax paid = tax rate x price of the book

18 x 8%

18 x 0.08 = $1.44


2w - 5 = 8

W =

Plllssssss helppoo

Answers

Answer:

w = 13/2 or 6.5

Step-by-step explanation:

2w - 5 = 8

Add 5 to each side

2w - 5+5 = 8+5

2w = 13

Divide by 2

2w/2 = 13/2

w = 13/2 or 6.5

Answer:

13/2

Step-by-step explanation:

the steps are in the screenshot attached.

Each day, Deanne starts working at 10:00 a.m. and Stephanie starts working at noon. At which time each day are the earnings for Deanne equal to the earnings for Stephanie?​

Answers

Answer:

Time when both earnings are equal = 5:00 Pm

Step-by-step explanation:

Given:

Total earning of Deanne = 6.50x

Total earning of Stephanie = 9.10(x -2)

Work started at 10:00 am

Find:

Time when both earnings are equal

Computation:

Total earning of Deanne = Total earning of Stephanie

6.50x = 9.10(x - 2)

6.5x = 9.1(x-2)

6.5x = 9.1x - 18.2

9.1x - 6.5x = 18.2

2.6x = 18.2

x = 18.2 / 2.6

x = 7 hour

So,

Time when both earnings are equal = Work started at 10:00 am + 7 hour

Time when both earnings are equal = 5:00 Pm

plzz help it's due today​

Answers

Answer:

B

Step-by-step explanation:

Say the point below point B is point C.

AB belongs to triangle ABC.

To find hypotunuse AB, we need BC and AC so that we can use pythagorean thereom.

BC is already given --> 1.

AC is a diagonal of the rectangular prisms's base.

We already have 2 sides for the triangle that the base diagonal belong's to.

AC^2 = 4^2 + 6^2

AC^2 = 16 + 36 = 52

AC = √52

Now we have AC ad BC. We can find AB using pythagorean thereom.

AC^2 + BC^2 = AB^2

(√52)^2 + (1)^2 = AB^2

52 + 1 = AB^2

AB^2 = 53

AB = √53

option B

Marian asked 25 students the following questions in a survey.
1. Are you male or female?
2. Do you wear glasses?
Marian's results are shown below.
There were a total of 15 female students who were surveyed.
• There were 17 students who wear glasses.

Answers

Answer:

Step-by-step explanation:

What is the approximate area is the shaded sector in the circle shown below?

Answers

Answer:

B.

Step-by-step explanation:

1) the area of the given circle is: A=π*r²=256π (in²).

2) the part of the shaded sector is 110/360=11/36, it means that the required area of the shaded sector is: 11/36 * A = 256* π * 11 / 36≈246 (in²).

A quadratic polynomial whose zeroes are -6 and -7 is​

Answers

Answer:

x² + 13x + 42 = 0

Step-by-step explanation:

(x + 6)(x + 7) = x² + 7x + 6x + 42 = x² + 13x + 42

Find the measure of LABC. (Hint: Solve for x first.)

Answers

(4x+6)+(2x)=180 because they make up a line
6x+6=180
6x=174
x=29
4(29)+6=122

A shopkeeper allows 20 % discount on the marked price of an article and 10 % VAT is leavied on it . If a customer pays Rs 5000 for VAT them find the discount amount.​

Answers

Answer:

Rs 12,500

Step-by-step explanation:

the price before VAT = 100/10 × Rs 5000 =

Rs 50,000

the price before discount = 50,000 / 80%

= 50,000/0.8 = 62,500

so the discount amount = 62,500-50,000

= Rs 12,500

Tell whether the triangle with the given side lengths is a right triangle.
28, 45,54
The answer is yes or no

Answers

Answer:

No

Step-by-step explanation:

If f(x) = 2x - 6 and dx) = 3x + 9, find (f - g(x).
O A. (f- g)(x) = -x- 15
O B. (f- g)(x) = x + 15
O C. (f- g)(x) = -x+ 3
O D. (f - g)(x) = 5x + 3

Answers

Answer:

A

Step-by-step explanation:

Given that f(x) is 2x-6, and g(x) is 3x+9, all we have to do is subtract in order to find (f(x)-g(x)):

[tex](f(x)-g(x))=\\\2x-6-(3x+9)=\\2x-6-3x-9=\\-x-15[/tex]

[tex]\fbox{A}[/tex]

I hope this helps! Let me know if you have any questions :)

which value from the set{2,14,16,63}makes the equation n-7=9 true

Answers

Answer:

16.

Step-by-step explanation:

n - 7 = 9

Add 7 to both sides

n = 9 + 7 = 16.

Answer:

16

Step-by-step explanation:

Given

n - 7 = 9 ( add 7 to both sides )

n = 16

This equation shows how the total number of pieces Lamar has learned depends on the number of weeks he has taken piano lessons. P = w The variable w represents the number of weeks he has taken piano lessons, and the variable p represents the total number of pieces he has learned. In all, how many weeks of piano lessons will Lamar need before he will be able to play a total of 19 pieces?

Answers

Answer:

19 weeks

Step-by-step explanation:

Given equation:

P = w

Where,

w = the number of weeks he has taken piano lessons

p = the total number of pieces he has learned

how many weeks of piano lessons will Lamar need before he will be able to play a total of 19 pieces?

Find w when p = 19

P = w

p = 19

Since P = w

19 = w

Therefore,

w = 19

Lamar need 19 weeks before he will be able to play a total of 19 pieces

Let p: A number is greater than 25.

Let q: A.number is less than 35.

If p ^ q is true, then what could the number be? Select two options.

Answers

Answer:

Here we do not have the options, so I will answer in a general way.

We have two statements:

p = A number is greater than 25

q = A number is less than 35

We want to have:

p ^ q is true

This means:

p and q are true.

So, we need to find a number such that both conditions are meet, so we need to find a number N such that

The number N is greater than 25  (from p)

The number N is less than 35 (from q)

So N can be any number between 25 and 35

So, some of the possible values of N are:

N = 26

N = 27

N = 28.6

N = 33

N = 34

Concluding, any number N ∈ (25, 35) can be a solution.

(Note that N = 25 and N = 35 are not solutions)

What are the real roots of the function in the graph?

Answers

Answer:

-1 and 3

Step-by-step explanation:

The real roots of a function are located where the function passes through the x-axis. In this case, the function passes through x=-1 and x=3, making them the real roots of the function.

Help me with area, please.

Answers

Answer:

Num. 2: A = 25, Num. 3 = 63, Num. 4 = 80

Step-by-step explanation:

I'll help with as many as I can, so a few of them I won't be able too answer. You should re-post those later. Good luck, hope this helps.

For number 2:

First, turn the triangle into a rectangle by cutting it in half and attaching it to the other half so it forms a rectangle.

Since you cut the triangle in half, you also have to split 5 in half, so the bottom length is now 2.5.

Now, simply multiply 2.5 by 10, and you have the area for number 2.

The area for number 2 is 25.

For number 3:

This one is much easier. Just think of the shape as a normal square that has been tipped to the side. That means that you would solve for area the same way: 9 x 7, which means that the area for number 3 is 63.

For number 4:

This one is also easy. Simply cut, and paste. Now the right side is 10, and the top side is 8. Multiply, and the area will be 80 m.

Please re-post 1 and 5, as I am not able to solve them. Sorry this answer took so long!

Can someone please help me

Answers

Answer:

Her monthly rate per month is $12

Step-by-step explanation:

On the 0 month is what she already had in her bank account.

Also the months are going by 2's so it's going by $24 dollars every 2 months, so 24 divided by 2 is 12.

a + x = -3 với a = 5 . Tìm x

Answers

Answer:

the answer is if a=5

than, 5+x=-3

or,x=-3-5

therefore x=-8

Answer:

[tex]x = - 8[/tex]

Step-by-step explanation:

[tex]a + x = - 3[/tex]

[tex]5 + x = - 3[/tex]

[tex] x = - 3 - 5[/tex]

[tex]x = - 8[/tex]

Hope it is helpful...

if def geh solve for x

Answers

Answer:

huh???

Step-by-step explanation:

The answer is x I guess

If we have a ratio of 5:1 boys to girls in the class and there are only 5 girls in the class, How many boys are there in the class?

Answers

Answer:

25

Step-by-step explanation:

5x5=25

Hope this helps! :)

Answer:

25 boys

Explanation:

Because if there are 5 girls in the class then that means that you have to multiply the ratio of 5:1 by 5, which equals 25:5, meaning there’s 25 boys in the class.

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